Gauge field theories with Lorentz-violating operators of arbitrary dimension

2018/12/31 by V. Alan Kostelecký, Alan Kostelecky, Zonghao Li
Mathematics · Medicine · Physics and Astronomy · #Abelian group #Black Holes and Theoretical Physics #CPT symmetry #Gauge boson #Gauge fixing #Gauge theory #Introduction to gauge theory #Lorentz covariance #Lorentz transformation #Lorenz gauge condition #Mathematical physics #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Photon #Physics #Quantum chromodynamics #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.99.056016

published as Phys. Rev. D 99, 056016 (2019) · 22 pages two-column REVTeX, version published in Physical Review D

openalex created_date 2019/01/11 · openalex publication_date 2019/03/27 · arxiv created 2019/03/28 · arxiv updated 2019/04/03 · openalex updated_date 2026/08/05

Abstract

The classification of Lorentz- and CPT-violating operators in non-Abelian gauge field theories is performed. We construct all gauge-invariant terms describing propagation and interaction in the action for fermions and gauge fields. Restrictions to the Abelian, Lorentz-invariant, and isotropic limits are presented. We provide two illustrative applications of the results to quantum electrodynamics and quantum chromodynamics. First constraints on nonlinear Lorentz-violating effects in electrodynamics are obtained using data from experiments on photon-photon scattering, and corrections from nonminimal Lorentz and CPT violation to the cross section for deep inelastic scattering are derived.

Citations

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